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Finding the Third Proportional to 259,778 and 400,611

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Solution

The third proportional to 259,778 and 400,611 is: 617,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,778 : 400,611 = 400,611 : x
  2. Step 2: Convert to fraction form
    259,778/400,611 = 400,611/x
  3. Step 3: Cross multiply
    259,778x = 400,611 × 400,611
  4. Step 4: Simplify right side
    259,778x = 160,489,173,321
  5. Step 5: Solve for x
    x = 160,489,173,321/259,778
  6. Step 6: Final answer
    x = 617,793.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.